Question
Mr. smith has contributed $225.00 at the end of each month into an RRSP paying 4% per annum compounded quarterly. using the formula below please
Mr. smith has contributed $225.00 at the end of each month into an RRSP paying 4% per annum compounded quarterly. using the formula below please solve for the following.
(a) After 18 years Mr. Smith will have $____ in the RRSP. (rounded to two decimal places)
(b) How much of the amount is interest? $____
2. Find the future value of the following ordinary annuity
Periodic Payment | Payment Interval | Term | Interest Rate | Conversion Period |
$550 | 1 year | 3 Years | 11% | Semi-annually |
The future value is $____ (rounded to two decimal places)
Calculate the future value of the ordinary annuity (FVA) as follows:
FVA = PMT * (((1 + r)^n - 1) / r)
Where Periodic payment is (PMT)
Where Number of periods is (n)
Where Annual interest rate is (r)
3. What is the discounted value of $1321.00 paid at the end of every year for 4 years if interest is 10% per annum compounded semi-annually? Please solve using the formula below.
The discounted value is $____
4. A property was purchased for $4866.00 down and payments of $1170 at the end of every three months for 7 years. Interest is 3% per annum compounded annually.
(a) What was the purchase price of the property ? ( rounded to two decimal places )
(b) How much is the cost of financing ?
5. Langara Woodcraft borrowed money to purchase equipment. The loan is repaid by making payments of $811.52 at the end of every year over five years. If interest is 6.2% compounded quarterly, what was the original loan balance? Please use the formula below to solve, or using a financial calculator.
i = the given nominal annual rate 12
n = the number of years x 4
6. As a settlement for an insurance claim, Craig was offered one of two choices. He could either accept a lump-sum amount of $11,748 now, or accept monthly payments of $188 for the next six years. If the money is placed into a trust fund earning 4.48% compounded annually, which is the better option and by how much?
Answer : The _________ option is better by $___
7. Find the present value of the following ordinary annuity Using the formula below.
Periodic Payment | Payment Interval | Term | Interest Rate | Conversion Period |
$2500 | 1 Year | 9 Years | 9% | semi-annually |
The present value is $___ (rounded to two decimal places )
8.Harlan made equal payments at the end of each month into his RRSP. If interest in his account is 8.8% compounded annually, and the balance after eleven years is $13,500, what is the size of the monthly payment?
The size of the monthly payment is $____
9. A vacation property valued at $28,000 was bought for 240 payments of $220 due at the end of every month. What nominal annual rate of interest compounded semi-annually was charged? Answer Using a preprogrammed financial calculator to solve for the rate. Remember to follow the cash flow sign convention.
The nominal annual rate of interest is ___%
10. A loan is repaid with payments of $1246 made at the end of each quarter for 13 years. If interest on the loan is 5.5%, compounded monthly, what is the initial value of the loan? Enter to the nearest cent (two decimals). Using the formula shown below.
i = the given nominal annual rate 12
n = the number of years x 4
11.What payment needs to be made at the end of each year to accumulate $27082 over 24 years at 9.5% compounded monthly? Answer to two decimals.
Please Answer using a Financial Calculator
Settings :
N = # of years x 1
I% = the given interest rate (eg. 10.5% is entered as 10.5)
PV = 0
PMT = ?
FV = given future value, entered as a negative
P/Y = 1
C/Y = 12
12.What payment needs to be made at the end of each month to accumulate $30502 over 20 years at 14.9% compounded quarterly? Answer to two decimals.
13.What payment needs to be made at the end of each year to pay off a loan of $66116 over 21 years at 14.6% compounded monthly? Answer to two decimals. Do not use $ signs or commas.
Financial Calculator Settings as shown :
N = # of years x 12
I% = the given interest rate
PV = the loan value
PMT = calculate
FV = 0
P/Y = 1
C/Y = 12
14.What payment needs to be made semi-annually at the end of each period to pay off a loan of $465733 over 25 years at 9.3% compounded monthly? Answer to two decimals.
15.9 deposits increasing at a constant rate of 6.2% are made at the end of each year. The first deposit was 2187 and fund earns 12.4% compounded annually. What is the future value of the periodic constant growth payments? Answer to two decimals using the following formula
Where k = the constant growth rate
n = the number of deposits
PMT = the size of the first deposit
i = the given interest rate
16.6 deposits increasing at a constant rate of 3.4% are made at the end of each year. The first deposit was 12888 and fund earns 14.1% compounded annually. What is the size of the last deposit? Answer to two decimals using the following formula
Formula
((1+)1
Where:
k is the growth rate
n is the number of years
the Interest rate is irrelevent for this question
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